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Finding the Third Proportional to 359,673.75 and 537,038.44

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Solution

The third proportional to 359,673.75 and 537,038.44 is: 801,866.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,673.75 : 537,038.44 = 537,038.44 : x
  2. Step 2: Convert to fraction form
    359,673.75/537,038.44 = 537,038.44/x
  3. Step 3: Cross multiply
    359,673.75x = 537,038.44 × 537,038.44
  4. Step 4: Simplify right side
    359,673.75x = 288,410,283,352.44
  5. Step 5: Solve for x
    x = 288,410,283,352.44/359,673.75
  6. Step 6: Final answer
    x = 801,866.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.